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Time series forecasting has always been a thought-provoking topic in the field of machine learning. Machine learning scientists define a time series as a set of observations recorded over consistent time steps. And, time series forecasting…

Quantum Physics · Physics 2022-07-19 Payal Kaushik , Sayantan Pramanik , M Girish Chandra , C V Sridhar

Due to lack of scientific understanding, some mechanisms may be missing in mathematical modeling of complex phenomena in science and engineering. These mathematical models thus contain some uncertainties such as uncertain parameters. One…

Probability · Mathematics 2012-04-05 Jinqiao Duan , Ting Gao , Guowei He

Climate models are generally calibrated manually by comparing selected climate statistics, such as the global top-of-atmosphere energy balance, to observations. The manual tuning only targets a limited subset of observational data and…

Atmospheric and Oceanic Physics · Physics 2022-04-06 Michael F. Howland , Oliver R. A. Dunbar , Tapio Schneider

A physical (e.g. astrophysical, geophysical, meteorological etc.) data may appear as an output of an experiment or it may contain some sociological, economic or biological information. Whatever be the source of a time series data some…

Astrophysics · Physics 2007-05-23 Koushik Ghosh , Probhas Raychaudhuri

Groundwater level prediction is an applied time series forecasting task with important social impacts to optimize water management as well as preventing some natural disasters: for instance, floods or severe droughts. Machine learning…

Machine Learning · Computer Science 2022-09-29 Michael Franklin Mbouopda , Thomas Guyet , Nicolas Labroche , Abel Henriot

We review opportunities for stochastic geometric mechanics to incorporate observed data into variational principles, in order to derive data-driven nonlinear dynamical models of effects on the variability of computationally resolvable…

Chaotic Dynamics · Physics 2018-06-28 François Gay-Balmaz , Darryl D. Holm

Weather regimes provide a useful framework for describing large-scale atmospheric variability and its impacts on regional weather. Despite extensive study, there is still no universally accepted definition or method for identifying weather…

Algebraic Topology · Mathematics 2026-05-21 Soheil Anbouhi

Time periods are frequently used to specify time in metadata and retrieval. However, it is not easy to describe and retrieve information about periods, because the temporal ranges represented by periods are often ambiguous. This is because…

Information Retrieval · Computer Science 2020-01-01 Tatsuki Sekino

Different disciplines pursue the aim to develop models which characterize certain phenomena as accurately as possible. Climatology is a prime example, where the temporal evolution of the climate is modeled. In order to compare and improve…

Methodology · Statistics 2017-02-03 T. M. Erhardt , C. Czado , T. L. Thorarinsdottir

Prediction of dynamic environmental variables in unmonitored sites remains a long-standing challenge for water resources science. The majority of the world's freshwater resources have inadequate monitoring of critical environmental…

Machine Learning · Computer Science 2025-01-29 Jared D. Willard , Charuleka Varadharajan , Xiaowei Jia , Vipin Kumar

The presence of undesirable dominating signals in geophysical experimental data is a challenge in many subfields. One remarkable example is surface gravimetry, where frequencies from Earth tides correspond to time-series fluctuations up to…

Geophysics · Physics 2017-10-27 Arthur Valencio , Celso Grebogi , Murilo S. Baptista

A technique is introduced for estimating unknown parameters when time series of only one variable from a multivariate nonlinear dynamical system is given. The technique employs a combination of two different control methods, a linear…

chao-dyn · Physics 2009-10-31 Anil Maybhate , R. E. Amritkar

One way to warn of forthcoming critical transitions in Earth system components is using observations to detect declining system stability. It has also been suggested to extrapolate such stability changes into the future and predict tipping…

Geophysics · Physics 2024-08-14 Maya Ben-Yami , Andreas Morr , Sebastian Bathiany , Niklas Boers

Increasingly high-stakes decisions are made using neural networks in order to make predictions. Specifically, meteorologists and hedge funds apply these techniques to time series data. When it comes to prediction, there are certain…

Machine Learning · Computer Science 2022-11-14 Levente Foldesi , Matias Valdenegro-Toro

Time-varying non-Euclidean random objects are playing a growing role in modern data analysis, and periodicity is a fundamental characteristic of time-varying data. However, quantifying periodicity in general non-Euclidean random objects…

Methodology · Statistics 2025-10-22 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Since long back, scientists have been putting enormous effort to understand earthquake dynamics -the goal is to develop a successful prediction scheme which can provide reliable alarm that an earthquake is imminent. Model studies sometimes…

Statistical Mechanics · Physics 2009-08-03 Srutarshi Pradhan

We propose a new class of univariate nonstationary time series models, using the framework of modulated time series, which is appropriate for the analysis of rapidly-evolving time series as well as time series observations with missing…

Bayesian hierarchical models are proposed for modeling tropical cyclone characteristics and their damage potential in the Atlantic basin. We model the joint probability distribution of tropical cyclone characteristics and their damage…

Applications · Statistics 2025-06-13 Lindsey Dietz , Sakshi Arya , Vishal Subedi , Auroop R. Ganguly , Snigdhansu Chatterjee

Recent advances in the understanding of time series permit to clarify seasonalities and cycles, which might be rather obscure in today's literature. A theorem due to P. Cartier and Y. Perrin, which was published only recently, in 1995, and…

Statistical Finance · Quantitative Finance 2015-10-02 Michel Fliess , Cédric Join

A topological computation method, called the MGSTD method, is applied to time-series data obtained from meteorological measurement. The method gives decomposition of the dynamics into invariant sets and gradient-like transitions between…

Dynamical Systems · Mathematics 2019-05-31 Hidetoshi Morita , Masaru Inatsu , Hiroshi Kokubu